If you apply the changes below to the absolute value parent function, f(x) = [X],
what is the equation of the new function?
.
Shift 4 units to the right.
• Shift 6 units up.
A. g(x) = 5x + 6 + 4
B. g(x) = x - 41 + 6
C. g(x) = 1x - 61 + 4
D. g(x) = 5x + 4 + 6

Answer:

[tex]MN = \sqrt{14[/tex]

Step-by-step explanation:

Given

[tex]NO = 12[/tex]

[tex]OP = 2.5[/tex]

[tex]OQ = 4.5[/tex]

Required

Find MN

First, we calculate QP using Pythagoras theorem

[tex]OQ^2 = OP^2 + QP^2[/tex]

[tex]4.5^2 = 2.5^2 + QP^2[/tex]

[tex]20.25 = 6.25 + QP^2[/tex]

Collect like terms

[tex]QP^2 = 20.25 - 6.25[/tex]

[tex]QP^2 = 14[/tex]

Take square roots

[tex]QP = \sqrt{14[/tex]

To solve MN, we have:

[tex]MN = OP[/tex]

So:

[tex]MN = \sqrt{14[/tex]

Answer:

96

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Answer:

It A. 96 inches

Hope it helps!

Step-by-step explanation:

Answer:

Area of rectangular lot= l * f

Step-by-step explanation:

Area of rectangular lot= l * f=7x*7x = 49x^2

Area of stadium= 5y*5y = 25y^2

Area left of build bleachers = 49x^2 - 25y^2

Answer:

{x | x < 2 and  x < -4 }

Step-by-step explanation:

Given the inequality 5(x - 2)(x + 4) > 0?

This also means x - 2 < 0 and x + 4<0

For x - 2 < 0

Add 2 to both sides

x - 2 + 2 < 0 + 2

x < 2

Similarlry for x + 4 <0

Subtract 4 from both sides

x+4-4 < 0 -4

x < 0 -4

x < -4

x < 2 and  x < -4

Hence the required solution is {x | x < 2 and  x < -4 }

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Answer:

The new center is the point (-x, y)

Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).

See the attached image for an example.

The circle on the right has center (3, 1).  When reflected across the y-axis, the reflected center is (-3, 1).

Answer:

the slope of the line is 4 and the working is in the attached picture

Answer:

4

Step-by-step explanation:

[tex]\frac{-7 - 1}{-3-(-1)}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

Answer:

Tempo = 7,230kg

Van = 7,770kg

Step-by-step explanation:

FOR THE TEMPO

boxes of biscuits = 482

Each weight = 15kg each

= 482 x 15kg

= 7,230kg

FOR THE VAN

boxes of biscuits = 518

as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each

= 518 x 15kg

= 7,770kg

Answer:

The answer is 19.

Step-by-step explanation:

This is because the sequence adds up by 7 each time. Have a nice day!

Answer:

19

Step-by-step explanation:

The sequences are adding 7, so 12 + 7= 19

I hope this helps :D

Answer:

I think its 10 pls dont get mad at me if its wrong.

Step-by-step explanation:

if you see x and then 10 you can see they line up

Answer:

36

Step-by-step explanation:

12 x 3 = 36

Answer:

Step-by-step explanation:

The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.

Answer:

Graph the function.

Step-by-step explanation:

Answer:

x = 9

(5x9) - 1° = 45 - 1 or 44°

Step-by-step explanation:

the little square indicates the angle is a right angle, measuring 90°

therefore, you can solve for 'x' by creating this equation:

46 + 5x-1 = 90

45 + 5x = 90

5x = 45

x = 9

Answer:

Answer = D.) 9, 12, 16

Step-by-step explanation:

Answer:

[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]

Answer:

Step-by-step explanation:

Answer: it would be four

Step-by-step explanation:

Answer:b

Step-by-step explanation: pi is irrational so if you add it to something that becomes irrational

Answer:

b

Step-by-step explanation:

Answer:

Decimal:

h = 4.2 ft

Fraction:

[tex]h=4\frac{1}{5}[/tex] ft

Step-by-step explanation:

[tex]\frac{9}{15} :\frac{h}{7}[/tex]

Cross multiply.

h · 15 = 9 · 7

Simplify.

15h = 63

Divide each side by 15.

15h ÷ 15 = 63 ÷ 15

Simplify.

h = 4.2

Answer:

You could use 3.14 or 22/7

Step-by-step explanation:

It should be what you're asking, if not, tell me and I'll give you another answer.

:)

Answer:

use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.

Step-by-step explanation:

Answer:

3x - 4 =  32

2x =  24

5x + 10 = 70

4x - 8 = 40

Step-by-step explanation:

Please find the complete question in the attached image

Perimeter = sum of sides of the quadrilateral

166 = 4x - 8 + 5x + 10 + 2x + 3x - 4

166 = 14x - 2

combine like terms

166 + 2 = 14x

168 = 14x

x = 12

substitute for x in each of the sides

3x - 4 = 3(12) - 4 = 32

2x = 2 x 12 = 24

5x + 10 = 5(12) + 10 = 70

4x - 8 = 4(12) - 8 = 40

Answer:

x = -8, y = 4

Step-by-step explanation:

3x + 3y = -12 (1)

x + 6y = 16 (2)

Multiply (2) by 3

3x + 18y = 48 (3)

3x + 3y = -12 (1)

Subtract (1) from (3) to eliminate x

18y - 3y = 48 - (-12)

15y = 48 + 12

15y = 60

y = 60/15

y = 4

Substitute y = 4 into (1)

3x + 3y = -12 (1)

3x + 3(4) = -12

3x + 12 = -12

3x = -12 - 12

3x = -24

x = -24/3

x = -8

x = -8, y = 4

Answer:

5

Step-by-step explanation:

The mean is the average so add up all values of the data points and divide by the amount of data points.

Answer:

11

Step-by-step explanation:

add all the x's to get the total

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation:

Answer:

can u please send the question again with clear picture of diagram?

Answer:

The one on the right. y< -x/2 - 1